Q: What are the factor combinations of the number 401,276,015?

 A:
Positive:   1 x 4012760155 x 802552037 x 5732514535 x 114650291367 x 2935456835 x 587098387 x 478459569 x 41935
Negative: -1 x -401276015-5 x -80255203-7 x -57325145-35 x -11465029-1367 x -293545-6835 x -58709-8387 x -47845-9569 x -41935


How do I find the factor combinations of the number 401,276,015?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 401,276,015, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 401,276,015
-1 -401,276,015

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 401,276,015.

Example:
1 x 401,276,015 = 401,276,015
and
-1 x -401,276,015 = 401,276,015
Notice both answers equal 401,276,015

With that explanation out of the way, let's continue. Next, we take the number 401,276,015 and divide it by 2:

401,276,015 ÷ 2 = 200,638,007.5

If the quotient is a whole number, then 2 and 200,638,007.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 401,276,015
-1 -401,276,015

Now, we try dividing 401,276,015 by 3:

401,276,015 ÷ 3 = 133,758,671.6667

If the quotient is a whole number, then 3 and 133,758,671.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 401,276,015
-1 -401,276,015

Let's try dividing by 4:

401,276,015 ÷ 4 = 100,319,003.75

If the quotient is a whole number, then 4 and 100,319,003.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 401,276,015
-1 401,276,015
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

157351,3676,8358,3879,56941,93547,84558,709293,54511,465,02957,325,14580,255,203401,276,015
-1-5-7-35-1,367-6,835-8,387-9,569-41,935-47,845-58,709-293,545-11,465,029-57,325,145-80,255,203-401,276,015

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